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2 years ago

Help please! geometry help needed.

Mathematics

1 answer:

pentagon [3]2 years ago

4 0

Answer:

83 in^3

Step-by-step explanation:

We will need to find the volume of the cube, and then subtract the volume of the pyramid to find the space between.

Volume of pyramid = lwh/3 = 41.67

Volume of cube = lwh = 5*5*5 = 125 Subtract these 2 to get

125-41.67 = 83.33

Please let me know if this helped <3

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A sheet of paper 90 cm-by-66 cm is made into an open box (i.e. there's no top), by cutting x-cm squares out of each corner and f

NNADVOKAT [17]

Answer:

$26 - \sqrt{181}$ cm

Step-by-step explanation:

The volume of the box is:

V = height * length * width

V = x*(66 - 2*x)*(90 - 2*x)

V = (66*x - 2*x^2)*(90 - 2*x)

V = 5940*x - 132*x^2 - 180*x^2 + 4*x^3

V = 4*x^3 - 312*x^2 + 5940*x

where x is the length of the sides of the squares, in cm.

The mathematical problem is :

Maximize: V = 4*x^3 - 312*x^2 + 5940*x

subject to:

x > 0

2*x < 66 <=> x < 33

In the maximum, the first derivative of V, dV/dx, is equal to zero

dV/dx = 12*x^2 - 624*x + 5940

From quadratic formula

$x = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)}$

$x = \frac{624 \pm \sqrt{(-624)^2 - 4(12)(5940)}}{2(12)}$

$x = \frac{624 \pm \sqrt{104256}}{24}$

$x = \frac{624 \pm \sqrt{2^6*3^2*181}}{24}$

$x = \frac{624 \pm 8*3*\sqrt{181}}{24}$

$x_1 = \frac{624 + 24*\sqrt{181}}{24}$

$x_1 = 26 + \sqrt{181}$

$x_2 = \frac{624 - 24*\sqrt{181}}{24}$

$x_2 = 26 - \sqrt{181}$

But $x_1 > 33$ , then is not the correct answer.

5 0

3 years ago

What do I need to do here? I don't understand.

Allushta [10]

All you have to do to solve this is to find the square root of 183.84 and multiply it by 4. Since the square root is 13.558761005342634 then that would equal one side of the square. Multiply it by 4 to get the perimeter of the entire square.

13.558761005342634*4 = 54.2350440214

5 0

3 years ago

What is the value of x? sin(x + 16)° = cos(2x + 14)º Enter your answer in the box.

Kazeer [188]

Answer:

x=20

Step-by-step explanation:

we know that

If two angles are complementary, the cofunction identities state that the sine of one equals the cosine of the other and vice versa

In this problem

(x+16)° and (2x+14)° are complementary

That means----> the sum is equal to 90 degrees

$(x+16)^o+(2x+14)^o=90^o$

solve for x

$3x+30=90\\3x=90-30\\3x=60\\x=20$

6 0

3 years ago

In 1983, a winter hat cost $12.95. Today, a winter hat costs $24.50. If the CPI is 219, what is the percent relation of the actu

AnnZ [28]

Answer:

The actual price is 13.6 % lower than the expected price....

Step-by-step explanation:

Lets suppose the expected price = x

CPI = ( expected price ) : ( price in 1983 ) *100

219 = ( x : 12.95 ) *100

Divide both sides by 100.

x : 12.95 = 2.19

x =2.19*12.95

= $28.36 ( expected price )

p = ( 24.50*100 ) / 28.36

p= 2450/28.36

= 86.4 %

100 % - 86.4 % = 13.6 %

The actual price is 13.6 % lower than the expected price....

4 0

4 years ago

Find 100% of 188: Find 50% of 188: Find 25% of 188: Il Find 75% of 188: 14

storchak [24]

Answer:

100% = 188

50% = 94

25% = 47

add 50% value and 25% value 141 or you can multiply 188 by .75

Step-by-step explanation:

hat is pretty simple first think 188 is the 100 percent

the 50 percentage is dividing by 2 the number or multiplying by 0.50 that is 50% so it's 94

to get 25 porcent you can't multiply by .25 or divide by 4

to get 75 porcent add the values of 50 and 25 percent or multiply 188 by .75

7 0

3 years ago